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Finding the Fourth Proportional to 468,233.92, 702,322.04 and 288,353.62

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Solution

The fourth proportional to 468,233.92, 702,322.04 and 288,353.62 is: 432,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,233.92 : 702,322.04 = 288,353.62 : x
  2. Step 2: Convert to fraction form
    468,233.92/702,322.04 = 288,353.62/x
  3. Step 3: Cross multiply
    468,233.92x = 702,322.04 × 288,353.62
  4. Step 4: Simplify right side
    468,233.92x = 202,517,104,238.57
  5. Step 5: Solve for x
    x = 202,517,104,238.57/468,233.92
  6. Step 6: Final answer
    x = 432,512.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.